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A-LevelMathematicsIntegration9709/21 · May/June 2017 · Q35 Marks

Given that ∫₀ᵃ 4e^(2x+3) dx = 835, find the value of the constant a correct to 3 significant figures.

  1. Given that ∫₀ᵃ 4e^(2x+3) dx = 835, find the value of the constant a correct to 3 significant figures.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. [M1] Integrate to obtain form ke^(2x+3) where k is constant not equal to 4
  2. [A1] Obtain correct 8e^(2x+3)
  3. [A1] Obtain 8e^(2a+3) - 8e³ = 835 or equivalent
  4. [M1] Carry out correct process to find a from equation of form ke^(ma+c) = d
  5. [A1] Obtain 3.65

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About this question

Topic
Integration, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2017 Paper 2 Variant 1, question 3.

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